A Variation Problem for Stress-Energy Tensor

被引：1
|
作者：
Han, Yingbo [1 ]
机构：
[1] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Henan, Peoples R China
来源：
RESULTS IN MATHEMATICS | 2019年 / 74卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Stress-energy tensor; Liouville type results; variation formula; F-STATIONARY MAPS; STABILITY;
D O I：
10.1007/s00025-019-1090-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a functional Phi(S) related to the stress-energy tensor of a smooth map between two Riemannian manifolds. We derive the first variation formula and the second variation formula of Phi(S). We also use the stress-energy tensor to obtain some Liouville type results for some special maps. Finally, we obtain that the maps from or into the compact convex hypersurfaces M-m (m >= 5) of Rm+1 which are stable stress-energy stationary maps and satisfy the inequality 3 lambda(m) < Sigma(m-1)(i=1) lambda(i) must be constant.
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页数：26
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